8. Trigonometric Functions on Right Triangles

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of P in the interval $\(\left\)[0\(\degree\),90\(\degree\]\right\))$ with the following trigonometric function value.

$\(\csc\) P=\(\sqrt\)2$

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of A in the interval $\(\left\)[0,\(\frac{\pi}{2}\]\right\))$ with the following trigonometric function value.

$\(\cos\) A=\(\frac{\sqrt3}{2}\)$